1. DrawingDrawing Created by Inna Shapiro ©2008

2. Problem 1 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

3. Hint You can start at point A. A

4. Problem 2 The road map in a magic garden is shown on the picture. Can Dorothy walk around all roads without walking twice on any path?

5. Hint Dorothy can start at point A. A

6. Problem 3 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

7. Hint You can start at point A. A

8. Problem 4 The roads in Mathtown look like a star in a circle. Can a driver drive through all roads passing each road exactly once?

9. Answer The driver can start at point A, drive around the circle, and then drive along the star lines. A

10. Problem 5 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

11. Hint You can start at point A. A

12. Problem 6 There are nine dots on the picture. Can you draw four segments on it without lifting your pencil, so that those segments pass through all nine dots?

13. Answer The four segments are shown on the picture. Start at point A and proceed to points B, C, and D. A B C D

14. Problem 7 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

15. Hint You can start at point A. A

16. Problem 8 There are four circular bike paths in a park. Can a biker ride through all paths passing each path exactly once?

17. Hint The biker can start at point A. A

18. Answer The biker can start at point A and ride to points B, C, D, E, F, C, G, H, K, E, I, A, J, E, L, H, M, A, N, H, O, C, P, A in that order. A B C D E F G H I JK L M NO P

19. Problem 9 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

20. Hint You can start at point A. A

21. Answer You can start at point A, draw the left square, move to points B, C, draw the right square, move to points D, E, F, A. A B C D E F Note that we crossed our own path, for example, while drawing ED.

22. Problem 10 Can you draw this figure without lifting your pencil? You have to draw each line exactly once. You are not allowed to cross your own path.

23. Hint Paint the figure as shown on the picture.

24. Answer Start from point A and follow the boundary of the violet figure. A